30361320111200 has 288 divisors, whose sum is σ = 83927244562560. Its totient is φ = 10646325043200.

The previous prime is 30361320111191. The next prime is 30361320111209. The reversal of 30361320111200 is 211102316303.

It is an interprime number because it is at equal distance from previous prime (30361320111191) and next prime (30361320111209).

It is a super-4 number, since 4×30361320111200⁴ (a number of 55 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30361320111209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17572457 + ... + 19222743.

It is an arithmetic number, because the mean of its divisors is an integer number (291414043620).

Almost surely, 2^{30361320111200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30361320111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41963622281280).

30361320111200 is an abundant number, since it is smaller than the sum of its proper divisors (53565924451360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30361320111200 is a wasteful number, since it uses less digits than its factorization.

30361320111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650410 (or 1650397 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 30361320111200 its reverse (211102316303), we get a palindrome (30572422427503).

The spelling of 30361320111200 in words is "thirty trillion, three hundred sixty-one billion, three hundred twenty million, one hundred eleven thousand, two hundred".